SOLUTION: find the multiplicative inverse of 3

SOLUTION: find the multiplicative inverse of 3 - 2i

Question 915278: find the multiplicative inverse of 3 - 2i
Answer by shiva_agarwal(2) (Show Source): You can put this solution on YOUR website!
let the multiplicative inverse be x so that
3-2i * x=1 (1 is identity element for multiplication)
so that x=1/3-2i
now multiply numerator and denominator by 3+2i to rationalize your fraction so that you get
3+2i/3^2-(2i)^2
=3+2i/9+4 (since i^2=-1 so -2i^2=+4)
=3+2i/13
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